• DocumentCode
    1320959
  • Title

    On a t-Test for the Scale Parameter Based on Sample Percentiles

  • Author

    Chan, Lai K. ; Cheng, Smiley W.H. ; Mead, E.R. ; Panjer, H.H.

  • Author_Institution
    Department of Mathematics, University of Western Ontario, London, Ont., Canada.
  • Issue
    2
  • fYear
    1973
  • fDate
    6/1/1973 12:00:00 AM
  • Firstpage
    82
  • Lastpage
    87
  • Abstract
    A Student´s test of Ho:¿ = ¿o against ¿ ¿ ¿o of the scale parameter ¿ of the Normal, logistic, and Cauchys distributions, when the location parameter ¿ is known is based on a few sample percentiles selected from a large sample. Tables facilitating the computation of the test statistic are provided. The significance level and power of the test statistic for sample sizes ¿ 200 are simulated by the Monte Carlo method and compared with the significance level and power when it is assumed to have its asymptotic distribution.
  • Keywords
    Computational modeling; Earth; Logistics; Mathematics; Probability density function; Probes; Statistical analysis; Statistical distributions; Testing; Yarn;
  • fLanguage
    English
  • Journal_Title
    Reliability, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9529
  • Type

    jour

  • DOI
    10.1109/TR.1973.5216039
  • Filename
    5216039